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Quadratic Equation Application Word Problem : Maximizing Rectangular Area

Anne decides to start a vegetable garden and buys 100m of wire netting to fence off a rectangular area from the rabbits.Assume that Anne uses an existing fence as one side of the rectangle, and the 100m netting for the other three sides.

- If x is the width of the rectangular garden, write an expression for the length of the garden in terms of x and find the formula for the area A of the garden in terms of x alone.

- Draw a graph of the area function including an appropriate domain and find at what value of x is the area a maximum

- What dimensions should Anne make her vegetable garden to achieve the maximum area?

Solution Summary

Rectangular area is maximized and a graph is sketched. The solution is detailed and well presented.